Solve 38/9-25/8

$$\frac { 38 } { 9 } - \frac { 25 } { 8 }$$

Evaluate

$$\frac{79}{72}\approx 1.097222222$$

Solution Steps

Least common multiple of 9 and 8 is 72. Convert \frac{38}{9} and \frac{25}{8} to fractions with denominator 72.

$$\frac{304}{72}-\frac{225}{72}$$

Since \frac{304}{72} and \frac{225}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{304-225}{72}$$

Subtract 225 from 304 to get 79.

$$\frac{79}{72}$$

Factor

$$\frac{79}{2 ^ {3} \cdot 3 ^ {2}} = 1\frac{7}{72} = 1.0972222222222223$$